Search a number
-
+
13340042144 = 2511132915219
BaseRepresentation
bin11000110110010000…
…01110001110100000
31021102200122100120222
430123020032032200
5204310022322034
610043415222212
7651402326102
oct143310161640
937380570528
1013340042144
115726119120
122703677968
13134797c580
149079a3572
1553122012e
hex31b20e3a0

13340042144 has 48 divisors (see below), whose sum is σ = 30854688480. Its totient is φ = 5597218560.

The previous prime is 13340042143. The next prime is 13340042161. The reversal of 13340042144 is 44124004331.

It is a super-2 number, since 2×133400421442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (13340042141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1453034 + ... + 1462185.

It is an arithmetic number, because the mean of its divisors is an integer number (642806010).

Almost surely, 213340042144 is an apocalyptic number.

It is an amenable number.

13340042144 is an abundant number, since it is smaller than the sum of its proper divisors (17514646336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13340042144 is a wasteful number, since it uses less digits than its factorization.

13340042144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2915253 (or 2915245 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 13340042144 its reverse (44124004331), we get a palindrome (57464046475).

The spelling of 13340042144 in words is "thirteen billion, three hundred forty million, forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 2915219 5830438 11660876 23321752 32067409 37897847 46643504 64134818 75795694 93287008 128269636 151591388 256539272 303182776 416876317 513078544 606365552 833752634 1026157088 1212731104 1667505268 3335010536 6670021072 13340042144